Search Results - "Toro, EF"

Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form by Toro, E.F., Saggiorato, B., Tokareva, S., Hidalgo, A.

“…We propose a one-parameter family of low-dissipation centred numerical schemes for solving hyperbolic equations in conservative or non-conservative form, using…”
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Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates by Toro, E.F., Müller, L.O., Siviglia, A.

“…•Largely unexplored topic of wave speed bounds for hyperbolic equations is addressed.•Existing results in the field are compiled and reviewed.•Theoretical…”
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Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries by Petrella, M., Tokareva, S., Toro, E.F.

“…We present a Stochastic Finite Volume - ADER (SFV-ADER) methodology for Uncertainty Quantification (UQ) in the general framework of systems of hyperbolic…”
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Finite-volume WENO schemes for three-dimensional conservation laws by Titarev, V.A., Toro, E.F.

“…In this paper we firstly carry out an extension of the finite-volume WENO schemes to three space dimensions and higher orders of accuracy. Secondly, we propose…”
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Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations by Busto, S., Toro, E.F., Vázquez-Cendón, M.E.

“…We construct, analyze and assess various schemes of second order of accuracy in space and time for model advection–diffusion–reaction differential equations…”
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ADER schemes for three-dimensional non-linear hyperbolic systems by Titarev, V.A., Toro, E.F.

“…In this paper, we carry out the extension of the ADER approach to multidimensional non-linear systems of conservation laws. We implement non-linear schemes of…”
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Derivative Riemann solvers for systems of conservation laws and ADER methods by Toro, E.F., Titarev, V.A.

“…In this paper, we first briefly review the semi-analytical method [E.F. Toro, V.A. Titarev, Solution of the generalized Riemann problem for advection–reaction…”
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Solution of the generalized Riemann problem for advection–reaction equations by Toro, E. F., Titarev, V. A.

“…We present a method for solving the generalized Riemann problem for partial differential equations of the advection–reaction type. The generalization of the…”
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Impact of CCSVI on cerebral haemodynamics: a mathematical study using MRI angiographic and flow data by Müller, L O, Toro, E F, Haacke, E M, Utriainen, D

“…The presence of abnormal anatomy and flow in neck veins has been recently linked to neurological diseases. The precise impact of extra-cranial abnormalities…”
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ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions by Toro, E.F., Titarev, V.A.

“…In this paper we develop non-linear ADER schemes for time-dependent scalar linear and non-linear conservation laws in one-, two- and three-space dimensions…”
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WENO schemes based on upwind and centred TVD fluxes by Titarev, V.A., Toro, E.F.

“…In this paper we propose to use second-order TVD fluxes, instead of first-order monotone fluxes, in the framework of finite-volume weighted essentially…”
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TVD Fluxes for the High-Order ADER Schemes by Toro, E. F., Titarev, V. A.

“…In this paper we propose to use a TVD flux, instead of a first-order monotone flux, as the building block for designing very high-order methods; we implement…”
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MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements by Titarev, V. A., Toro, E. F.

“…We develop and analyse an improved version of the multi‐stage (MUSTA) approach to the construction of upwind Godunov‐type fluxes whereby the solution of the…”
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A Riemann solver and upwind methods for a two-phase flow model in non-conservative form by Castro, C. E., Toro, E. F.

“…We present a theoretical solution for the Riemann problem for the five‐equation two‐phase non‐conservative model of Saurel and Abgrall. This solution is then…”
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PRICE: primitive centred schemes for hyperbolic systems by Toro, E. F., Siviglia, A.

“…We present first‐ and higher‐order non‐oscillatory primitive (PRI) centred (CE) numerical schemes for solving systems of hyperbolic partial differential…”
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Centred TVD schemes for hyperbolic conservation laws by Toro, EF, Billett, SJ

“…New first- and high-order centred methods for conservation laws are presented. Convenient TVD conditions for constructing centred TVD schemes are then…”
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On WAF-type schemes for multidimensional hyperbolic conservation laws by Billett, S J, Toro, E F

“…The weighted average flux (WAF) approach is introduced, and various schemes that it produces in one space dimension are examined. The WAF approach is then…”
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On Riemann solvers for compressible liquids by Ivings, M. J., Causon, D. M., Toro, E. F.

“…A number of Riemann solvers are proposed for the solution of the Riemann problem in a compressible liquid. Both the Tait and Tammann equations of state are…”
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Advanced three-dimensional two-phase flow simulation tools for application to reactor safety (ASTAR) by Staedtke, H., Franchello, G., Worth, B., Graf, U., Romstedt, P., Kumbaro, A., García-Cascales, J., Paillère, H., Deconinck, H., Ricchiuto, M., Smith, B., Cachard, F. De, Toro, E.F., Romenski, E., Mimouni, S.

“…This paper summarizes the cumulative work undertaken in the frame of the EU shared-cost action “ASTAR Project”—the current status and future perspectives in…”
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Hyperbolicity and one-dimensional waves in compressible two-phase flow models by Romenski, E., Toro, E.F.

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